A grid-tied inverter for supplying current to a power supply system includes an output bridge arrangement that is actuated via a pulse width modulator, wherein switching times of the output bridge arrangement are determined by using a periodic auxiliary signal, wherein the frequency of the periodic auxiliary signal varies according to a prescribed periodic wobble signal. The inverter further includes a synchronization unit configured to provide phase synchronization of the auxiliary signal to the power supply system, wherein the synchronization unit is configured to adjust a prescribed phase offset of the periodic auxiliary signal in relation to a phase of the power supply system, and a further synchronization unit configured to provide phase synchronization of the periodic wobble signal to the power supply system. The synchronization unit and the further synchronization unit each include a phase locked loop (PLL) circuit, and the periodic wobble signal is routed to a controller system of the PLL circuit of the synchronization unit via a correction signal generator circuit and an adder circuit for the purpose of suppressing oscillations.